Geometric realizations of substitutions

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1. [1] ARNOUX (P.). — Représentation géométrique des systèmes dynamiques symboliques. — Habilitation à diriger des recherches, Université d'Aix-Marseille II, 1991. 
2. [2] BOMBIERI (E.), J.E. Taylor. — Quasicrystals, tilings, and algebraic number theory : Some preliminary connections, Contemp. Math., t. 64, 1987, p. 241-264. Zbl0617.43002MR89a:82031
3. [3] BOSHERNITZAN (M.), I. Kornfeld. — Interval translation mappings, Ergod. Theor. & Dynam. Sys., t. 15, 1995, p. 821-832. Zbl0836.58026MR96m:58068
4. [4] DEKKING (M.). — Recurrent sets, Adv. in Math., t. 44, 1982, p. 78-104. Zbl0495.51017MR84e:52023
5. [5] DUMONT (J.M.). — Summation formulæ for substitutions on a finite alphabet, Number Theory and Physics, J.M. Luck, P. Moussa, and M. Waldschmidt, eds., Proceedings in Physics #47, Springer Verlag, 1990. Zbl0718.11009MR91g:11088
6. [6] FALCONER (K.J.). — The Geometry of Fractal Sets. — Cambridge University Press, New York, 1985. Zbl0587.28004
7. [7] FERENCZI (S.). — Les transformations de Chacon : combinatoire, structure géométrique, lien avec les systèmes de complexité 2n + 1, Bull. Soc. Math. France, 1995, p. 271-292. Zbl0855.28008MR96m:28018
8. [8] GABORIAU (D.). — Dynamique des systèmes d'isométries : Sur les bouts des orbites, Invent. Math., t. 126, 1996, p. 297-318. Zbl0880.58009MR97i:57028
9. [9] GABORIAU (D.) and G. Levitt. — The rank of actions on R-trees, Ann. Sci. École Norm. Sup. (4), t. 28, 1995, p. 549-570. Zbl0835.20038MR97c:20039
10. [10] HOLTON (C.), ZAMBONI (L.Q.). — Exotic actions on trees, Bull. London Math. Soc., t. 29, 1997, p. 309-313. Zbl0872.20028MR97k:20046
11. [11] HOLTON (C.), ZAMBONI (L.Q.). — Substitutions, partial isometries of R and actions on trees, Bull. Belgian Math. Soc. (in press). Zbl0936.28013
12. [12] HOLTON (C.), ZAMBONI (L.Q.). — Directed graphs and substitutions, preprint, 1997. 
13. [13] ITO (S.), KIMURA (M.). — On Rauzy fractal, Japan J. Indust. Appl. Math., t. 8, 1991, p. 461-486. Zbl0734.28010MR93d:11084
14. [14] MARTIN (J.C.). — Minimal flows arising from substitutions of nonconstant length, Math. Syst. Th., t. 7, 1973, p. 73-82. Zbl0256.54026MR48 #3029
15. [15] MAULDIN (R.D.), WILLIAMS (S.C.). — Hausdorff dimension in graph directed constructions, Trans. of the Amer. Math. Soc., t. 309, 1988, p. 811-829. Zbl0706.28007MR89i:28003
16. [16] MICHEL (P.). — Stricte ergodicité d'ensembles minimaux de substitutions, C.R. Acad. Sc. Paris, t. 278, 1974, p. 811-813. Zbl0274.60028MR50 #14718
17. [17] MOSSÉ (B.). — Puissances de mots et reconnaissabilité des points fixes d'une substitution, Theor. Comp. Sci., t. 99, 1992, p. 327-334. Zbl0763.68049MR93f:68076
18. [18] QUEFFÉLEC (M.). — Substitution Dynamical Systems-Spectral Analysis, Lecture Notes in Math. # 1294, 1987. Zbl0642.28013MR89g:54094
19. [19] RAUZY (G.). — Nombres algébriques et substitutions, Bull. Soc. Math. France, t. 110, 1982, p. 147-178. Zbl0522.10032MR84h:10074
20. [20] RAUZY (G.). — Rotations sur les groupes, nombres algébriques et substitutions, Séminaire de Théorie des Nombres, Talence, exp. n° 21, Univ. Bordeaux, Talence, 1987-1988. Zbl0726.11019
21. [21] SOLOMYAK (B.). — Substitutions, adic transformations and beta-expansions, Contemp. Math., t. 135, 1992, p. 361-372. Zbl0771.28013MR93j:58044
22. [22] WALTERS (P.). — An Introduction to Ergodic Theory. — Springer-Verlag, New York, 1982. Zbl0475.28009MR84e:28017

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